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Finding the Third Proportional to 141,885 and 311,859

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Solution

The third proportional to 141,885 and 311,859 is: 685,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885 : 311,859 = 311,859 : x
  2. Step 2: Convert to fraction form
    141,885/311,859 = 311,859/x
  3. Step 3: Cross multiply
    141,885x = 311,859 × 311,859
  4. Step 4: Simplify right side
    141,885x = 97,256,035,881
  5. Step 5: Solve for x
    x = 97,256,035,881/141,885
  6. Step 6: Final answer
    x = 685,456.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.